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Simplifying 9x(2) + -2(3k + 1) * x + -1 + k(2) = 0 Reorder the terms for easier multiplication: 9 * 2x + -2(3k + 1) * x + -1 + k(2) = 0 Multiply 9 * 2 18x + -2(3k + 1) * x + -1 + k(2) = 0 Reorder the terms: 18x + -2(1 + 3k) * x + -1 + k(2) = 0 Reorder the terms for easier multiplication: 18x + -2x(1 + 3k) + -1 + k(2) = 0 18x + (1 * -2x + 3k * -2x) + -1 + k(2) = 0 Reorder the terms: 18x + (-6kx + -2x) + -1 + k(2) = 0 18x + (-6kx + -2x) + -1 + k(2) = 0 Reorder the terms for easier multiplication: 18x + -6kx + -2x + -1 + 2k = 0 Reorder the terms: -1 + 2k + -6kx + 18x + -2x = 0 Combine like terms: 18x + -2x = 16x -1 + 2k + -6kx + 16x = 0 Solving -1 + 2k + -6kx + 16x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2k + -6kx + 1 + 16x = 0 + 1 Reorder the terms: -1 + 1 + 2k + -6kx + 16x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2k + -6kx + 16x = 0 + 1 2k + -6kx + 16x = 0 + 1 Combine like terms: 0 + 1 = 1 2k + -6kx + 16x = 1 Add '-16x' to each side of the equation. 2k + -6kx + 16x + -16x = 1 + -16x Combine like terms: 16x + -16x = 0 2k + -6kx + 0 = 1 + -16x 2k + -6kx = 1 + -16x Reorder the terms: -1 + 2k + -6kx + 16x = 1 + -16x + -1 + 16x Reorder the terms: -1 + 2k + -6kx + 16x = 1 + -1 + -16x + 16x Combine like terms: 1 + -1 = 0 -1 + 2k + -6kx + 16x = 0 + -16x + 16x -1 + 2k + -6kx + 16x = -16x + 16x Combine like terms: -16x + 16x = 0 -1 + 2k + -6kx + 16x = 0 The solution to this equation could not be determined.
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